Galoitica: Journal of Mathematical Structures and Applications

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https://doi.org/10.54216/GJSMA

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Volume 10 , Issue 2 , PP: 19-26, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method

Ahmed R. Khlefha 1 *

  • 1 Department of Mathematics, College of Education, University of Sumer, Thi-Qar, Iraq. - (arkdsh85@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.0100202

    Received: October 19, 2023 Revised: January 16, 2024 Accepted: March 18, 2024
    Abstract

    This article presents the development of families of approaches for numerically solving singularly perturbed two-point boundary-value problems using exponential spline functions. The proposed approaches exhibit second-order and fourth-order accuracy and are suitable for both singular and non-singular problem scenarios. Numerical data are presented to demonstrate the efficacy of our methodologies and are compared with those proposed by various writers.

    Keywords :

    Exponential spline functions , boundary value problems, absolute errors , Convergence Analysis.

    References

     

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    Cite This Article As :
    R., Ahmed. A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2024, pp. 19-26. DOI: https://doi.org/10.54216/GJMSA.0100202
    R., A. (2024). A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method. Galoitica: Journal of Mathematical Structures and Applications, (), 19-26. DOI: https://doi.org/10.54216/GJMSA.0100202
    R., Ahmed. A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method. Galoitica: Journal of Mathematical Structures and Applications , no. (2024): 19-26. DOI: https://doi.org/10.54216/GJMSA.0100202
    R., A. (2024) . A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method. Galoitica: Journal of Mathematical Structures and Applications , () , 19-26 . DOI: https://doi.org/10.54216/GJMSA.0100202
    R. A. [2024]. A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method. Galoitica: Journal of Mathematical Structures and Applications. (): 19-26. DOI: https://doi.org/10.54216/GJMSA.0100202
    R., A. "A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 19-26, 2024. DOI: https://doi.org/10.54216/GJMSA.0100202